摘要

We are interested in the numerical solution of the large nonsymmetric shifted linear system, (A + alpha I)x = b, for many different values of the shift alpha in a wide range. We apply the Saad's flexible preconditioning technique [14] to the solution of the shifted systems. Such flexible preconditioning with a few parameters could probably cover all the shifted systems with the shift in a wide range. Numerical experiments report the effectiveness of our approach on some problems.